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Popular >

range of-x^2+10x

Solution

range

- x^{2} + 10 x

Solution

f (x) \leq 25

+1

Interval Notation

(- \infty, 25]

Solution steps

Vertex of

- x^{2} + 10 x :

Maximum

(5, 25)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 1,

Vertex

(x_{v}, y_{v}) = (5, 25)

f (x) \leq 25

Popular Examples

domain of f(x)=(sqrt(6x-2))/(x^2-36)domain

f (x) = \frac{6 x - 2}{x ^{2} - 36}

extreme f(x)=(x^3)/((x^2-3))extreme points

f (x) = \frac{x ^{3}}{( x ^{2} - 3 )}

inverse of f(x)=(2x+9)/(x-1)inverse

f (x) = \frac{2 x + 9}{x - 1}

extreme f(x)=4-x+x^2 extreme points

f (x) = 4 - x + x^{2}

range of (4x)/(x+3)range

\frac{4 x}{x + 3}

Frequently Asked Questions (FAQ)

What is the range of-x^2+10x ?
The range of-x^2+10x is f(x)<= 25